396507456 has 84 divisors (see below), whose sum is σ = 1203400692. Its totient is φ = 124391424.

The previous prime is 396507379. The next prime is 396507467. The reversal of 396507456 is 654705693.

396507456 is a `hidden beast` number, since 3 + 96 + 507 + 4 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 164249856 + 232257600 = 12816^2 + 15240^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10455 + ... + 30038.

Almost surely, 2^396507456 is an apocalyptic number.

396507456 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

396507456 is an abundant number, since it is smaller than the sum of its proper divisors (806893236).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

396507456 is a wasteful number, since it uses less digits than its factorization.

396507456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40528 (or 40515 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The square root of 396507456 is about 19912.4949717508. The cubic root of 396507456 is about 734.6555876311.

The spelling of 396507456 in words is "three hundred ninety-six million, five hundred seven thousand, four hundred fifty-six".